# Equations of State Exercises

Below are some more realistic uses of equations of state for the students to solve themselves |

## Introduction

Some important notes in doing equation of state exercises:

- Do
**NOT**use the ideal gas equation.

- Do

- Remember that the compressibility factor is
*not*a constant.

- Remember that the compressibility factor is

- Remember the concept of gauge pressure.

- If temperatures are not given, assume ambient temperature (that is, pick a responsible number).

## Exercises

1. Consider a gas cylinder of 30,000 cm^{3}. The cylinder originally contained 3.78 kg of carbon dioxide at 31.9 °C. The empty cylinder was then filled with nitrogen. If the pressure and temperature is the same as in the original cylinder, how much nitrogen (in kg) is contained in the cylinder?

2. We have a tank of ethylene which originally contained 6800 kg of ethylene at a pressure of 103 bar. The tank then develops a leak. After the leak the pressure gauge reads 47.0 bar. How much ethylene is lost?

3. We have a 95 m^{3} tank of nitrous oxide at 56 bar and 37 °C. The entire contents are then pumped into another tank with a volume of 62 m^{3}. Assuming the transfer is isothermal, what is the pressure in the second tank?

4. A 0.315 m^{3} tank of n-butane is at 54.3 °C and 1160 kPa. If it is heated to 224 °C, what pressure develops?